Lagrangian chaos and scalar advection in stochastic fluid mechanics
DOI10.4171/JEMS/1140zbMath1496.76040arXiv1809.06484OpenAlexW2889883910WikidataQ125671170 ScholiaQ125671170MaRDI QIDQ2124246
Sam Punshon-Smith, Alex Blumenthal, Jacob Bedrossian
Publication date: 19 April 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06484
Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical solutions of Navier-Stokes and related equations (76D06)
Related Items (7)
Cites Work
- Asymptotic Properties of Markoff Transition Probabilities
- Magnetohydrodynamic Turbulence
- Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant measures for passive scalars in the small noise inviscid limit
- Strong and weak approximation of semilinear stochastic evolution equations
- Exponential self-similar mixing and loss of regularity for continuity equations
- Lyapunov exponents for random perturbations of some area-preserving maps including the standard map
- Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise
- A proof of Oseledec's multiplicative ergodic theorem
- A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
- Local times for solutions of the complex Ginzburg-Landau equation and the inviscid limit
- On Malliavin's proof of Hörmander's theorem
- On stochastic sea of the standard map
- Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations
- Wave turbulence.
- Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing
- Rigorous remarks about scaling laws in turbulent fluids
- Open problems in the theory of non-uniform hyperbolicity
- Extremal Lyapunov exponents: an invariance principle and applications
- On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity
- The Eulerian limit for 2D statistical hydrodynamics
- Furstenberg's theorem for nonlinear stochastic systems
- Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms
- Ergodic theory of differentiable dynamical systems
- Characteristic exponents and invariant manifolds in Hilbert space
- Subadditive ergodic theory
- Differentiable measures and the Malliavin calculus
- Products of random matrices in statistical physics
- Navier-Stokes equations: controllability by means of low modes forcing
- Ergodicity of the finite-dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Plenty of elliptic islands for the standard family of area preserving maps
- Ergodicity of the 2-D Navier-Stokes equation under random perturbations
- Large deviations and entropy production in viscous fluid flows
- Invariant measures and global well posedness for the SQG equation
- On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation
- Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
- Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations
- Universal mixers in all dimensions
- Diffusion and mixing in fluid flow
- Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises
- Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
- A lemma and a conjecture on the cost of rearrangements
- Hypoelliptic second order differential equations
- Turbulent cascade direction and Lagrangian time-asymmetry
- Exact controllability in projections for three-dimensional Navier-Stokes equations
- Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
- Mathematical theory of Lyapunov exponents
- Optimal stirring strategies for passive scalar mixing
- Mathematics of Two-Dimensional Turbulence
- Two-Dimensional Turbulence
- Particles and fields in fluid turbulence
- A practical criterion for positivity of transition densities
- Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
- Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
- Flows of stochastic dynamical systems: ergodic theory
- The Malliavin Calculus and Related Topics
- Lyapunov indices of a product of random matrices
- Diffusion in Fluid Flow: Dissipation Enhancement by Flows in 2D
- A note on third–order structure functions in turbulence
- Convection Enhanced Diffusion for Periodic Flows
- Conditioning as disintegration
- The role of chaotic orbits in the determination of power spectra of passive scalars
- Randomly forced CGL equation: stationary measures and the inviscid limit
- Power spectrum of passive scalars in two dimensional chaotic flows
- Exponential self-similar mixing by incompressible flows
- Ergodicity for stochastic reaction-diffusion systems with polynomial coefficients
- Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation
- Local 4/5-law and energy dissipation anomaly in turbulence
- Ergodicity for Infinite Dimensional Systems
- On the Relation between Enhanced Dissipation Timescales and Mixing Rates
- Stochastic Equations in Infinite Dimensions
- Approximate controllability of Lagrangian trajectories of the 3D Navier–Stokes system by a finite-dimensional force
- Passive tracer in a flow corresponding to two-dimensional stochastic Navier–Stokes equations
- Maximal mixing by incompressible fluid flows
- Introduction to Stochastic Analysis and Malliavin Calculus
- Euler Equations and Turbulence: Analytical Approach to Intermittency
- Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
- Lectures on Lyapunov Exponents
- Products of Random Matrices
- Small-Scale Structure of a Scalar Field Convected by Turbulence
- Diffusion by a Random Velocity Field
- Noncommuting Random Products
This page was built for publication: Lagrangian chaos and scalar advection in stochastic fluid mechanics